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TVCG
1998
127views more  TVCG 1998»
13 years 7 months ago
Dynamic Catmull-Clark Subdivision Surfaces
—Recursive subdivision schemes have been extensively used in computer graphics, computer-aided geometric design, and scientific visualization for modeling smooth surfaces of arbi...
Hong Qin, Chhandomay Mandal, Baba C. Vemuri
DCG
2008
90views more  DCG 2008»
13 years 7 months ago
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
CAD
2002
Springer
13 years 7 months ago
Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision
Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industri...
Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, ...
CAD
2006
Springer
13 years 7 months ago
A unified subdivision approach for multi-dimensional non-manifold modeling
This paper presents a new unified subdivision scheme that is defined over a k-simplicial complex in n-D space with k 3. We first present a series of definitions to facilitate top...
Yu-Sung Chang, Hong Qin
EWC
2006
61views more  EWC 2006»
13 years 7 months ago
Embarrassingly parallel mesh refinement by edge subdivision
We have previously proposed a new technique for the communication-free adaptive refinement of tetrahedral meshes that works for all configurations. Implementations of the scheme mu...
David C. Thompson, Philippe P. Pébay